I would not ever talk someone into staying if they didn’t want to. People have different levels of what they can do. It would make me feel worse tho, not to have been there.
I know, I was angry at myself for a while for that; however, I got the distinct impression the vet’s staff would have preferred me not staying. I may be wrong, but that was the feeling I got (I must admit I wasn’t thinking very clearly that morning).